GCF of 2774/350, 9506/6718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2774/350, 9506/6718 i.e 2/1175650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2774/350, 9506/6718.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 2774/350,9506/6718?
Given fractions are 2774/350,9506/6718
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 2774/350,9506/6718, numerators are 2774,9506
Denominators are 350,6718
The GCF of 2774,9506 is 2 .
LCM of 350,6718 is 1175650.
The greatest common factor of 2774/350,9506/6718 = [GCF of 2774,9506]/[LCM of 350,6718]= 2/1175650
Therefore, the GCF of 2774/350,9506/6718 is 2/1175650.
To find the highest common factor of 2774,9506, we have to find the factors of both numbers and list the highest common factor.
The factors of 2774 are 1, 2, 19, 38, 73, 146, 1387, 2774
The factors of 9506 are 1, 2, 7, 14, 49, 97, 98, 194, 679, 1358, 4753, 9506
The HCF of 2774,9506 is 2.
Lets's calculate GCF of 2774,9506
| 2 | 2774, 9506 |
| 1387, 4753 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2774,9506 By Matching Biggest Common Factor Method
Now, list down the factors of 2774
:1,2,19,38,73,146,1387,2774
Now, list down the factors of 9506
:1,2,7,14,49,97,98,194,679,1358,4753,9506
Greatest Common Factor
We found the factors 2774,9506 . The biggest common factor number is the GCF number.
So the greatest common factor 2774,9506 is 2.
Lets's calculate LCM of 350,6718
| 2 | 350, 6718 |
| 175, 3359 |
∴ So the LCM of the given numbers is 2 x 175 x 3359 = 1175650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1175650
Therefore, the GCF of Fractions 2774/350,9506/6718 is 2/1175650
Least Common Multiple of 350,6718 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 350,6718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,6718) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(350,6718) x common factors =2 x 1 = 2
LCM(350,6718) = ( 350 × 6718 ) / 2
LCM(350,6718) = 2351300 / 2
LCM(350,6718) = 1175650
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FAQs on GCF of Fractions of 2774/350, 9506/6718
1. What is the HCF of 2774,9506?
The HCF of 2774,9506 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 2774/350, 9506/6718?
Answer: GCF of Numerators as per given numbers 2774/350, 9506/6718 is
GCF of Numerators i.e. for 2774,9506 is 2
LCM of denominators i.e. for 350,6718 is 1175650.
Thus, GCF of Fractions is 2/1175650.Finally, GCF of Fractions for 2774/350, 9506/6718 is 2/1175650.